Control of the spread of TB-HIV/AIDS coinfection using optimal control

Monita, Yuyun and Intan, Putroue Keumala (2021) Control of the spread of TB-HIV/AIDS coinfection using optimal control. Jurnal Matematika MANTIK, 7 (1). pp. 96-106. ISSN 2527-3159; 2527-3167

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Abstract

The condition in which an individual is affected by TB and HIV/AIDS in his body is called a TB-HIV/AIDS coinfection. This research aims to minimize the populations of TB-HIV/AIDS coinfection with a minimum expenditure on medical expenses, that means minimizing the objective’s function ( ) or purpose function. In this research, modification of the model was carried out by adding the treatment population for HIV patients with ARV ( ). The population used was 11 classes with the use of three controls including treatment for individuals with latent TB ( ), active TB ( ), and HIV ( ). After performing numerical simulation using the forward backward fourth order Runge-Kutta, the results show that scenario 7 is the best scenario in controlling the spread of TB-HIV/AIDS coinfection because it resulted a minimum value of 1401,44. This means that providing the treatment for individuals with latent TB, active TB, and HIV in tandem can reduce the populations of TB-HIV/AIDS coinfection in the minimum treatment cost.

Item Type: Article
Additional Information: http://jurnalsaintek.uinsby.ac.id/index.php/mantik/article/view/1080
Creators:
Creators
Email
NIDN
Monita, Yuyun
-
-
Intan, Putroue Keumala
puput.in@gmail.com
0728058802
Uncontrolled Keywords: TB-HIV/AIDS coinfection; pontryagin; fourth order Runge-Kutta
Subjects: 11 MEDICAL AND HEALTH SCIENCES > 1103 Clinical Sciences > 110309 Infectious Diseases
13 EDUCATION > 1302 Curriculum and Pedagogy > 130209 Medicine, Nursing and Health Curriculum and Pedagogy
Divisions: Fakultas Sains dan Teknologi > Prodi Matematika
Depositing User: Samidah Nurmayuni
Date Deposited: 17 Jun 2022 03:04
Last Modified: 17 Jun 2022 03:04
URI: http://repository.uinsby.ac.id/id/eprint/2552

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